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Simplifying b = 5h(b + b) Combine like terms: b + b = 2b b = 5h(2b) Remove parenthesis around (2b) b = 5h * 2b Reorder the terms for easier multiplication: b = 5 * 2h * b Multiply 5 * 2 b = 10h * b Multiply h * b b = 10bh Solving b = 10bh Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10bh' to each side of the equation. b + -10bh = 10bh + -10bh Combine like terms: 10bh + -10bh = 0 b + -10bh = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(1 + -10h) = 0Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(1 + -10h)' equal to zero and attempt to solve: Simplifying 1 + -10h = 0 Solving 1 + -10h = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -10h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10h = 0 + -1 -10h = 0 + -1 Combine like terms: 0 + -1 = -1 -10h = -1 Add '10h' to each side of the equation. -10h + 10h = -1 + 10h Combine like terms: -10h + 10h = 0 0 = -1 + 10h Simplifying 0 = -1 + 10h The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
b = {0}
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